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Finding the Fourth Proportional to 177,696.64, 266,505.64 and 51,309.45

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Solution

The fourth proportional to 177,696.64, 266,505.64 and 51,309.45 is: 76,952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,696.64 : 266,505.64 = 51,309.45 : x
  2. Step 2: Convert to fraction form
    177,696.64/266,505.64 = 51,309.45/x
  3. Step 3: Cross multiply
    177,696.64x = 266,505.64 × 51,309.45
  4. Step 4: Simplify right side
    177,696.64x = 13,674,256,221.22
  5. Step 5: Solve for x
    x = 13,674,256,221.22/177,696.64
  6. Step 6: Final answer
    x = 76,952.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.